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Ricci: A Mathematica Package for Doing Tensor Calculations in Differential Geometry
Author

John M. Lee
Organization: Dept. of Mathematics, GN-50, University of Washington
Old MathSource #

0204-084
Revision date

2000-01-10
Description

Ricci is a Mathematica package for doing symbolic tensor computations that arise in differential geometry. Some of its capabilities include: manipulation of tensor expressions with and without indices; implicit use of the Einstein summation convention; correct manipulation of dummy indices; automatic calculation of covariant derivatives; Riemannian metrics and curvatures; complex bundles and tensors; and more.
Subject

*Mathematics > Calculus and Analysis > Differential Geometry
Keywords

Lie Rules, Lie Symmetry, Ricci Tensor, PureMath, Pure Math, Geometry, , differential geometry, Tensor calculations, tensor manipulation, dummy indices, upper indices, lower indices, tensor symmetries, Riemannian metrics, Riemann curvature, Riemann metrics, vector bundles, complex bundles, complex tensors, torsion
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Changes.txt (5.9 KB) - Revision history of the Ricci package
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Example.txt (20.2 KB) - An example of Ricci usage
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README.txt (9.3 KB) - Installation notes and information
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Manual.ps (425.6 KB) - Ricci User's Manual - Postscript
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Ricci.m (297.6 KB) - The source file for the Ricci package
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Ricci.tex (1.7 KB) - TeX macros needed for Ricci's TeXForm output

Files specific to Mathematica 2.2 version:
Download
README.txt (9.8 KB) - Installation notes and information
Download
Changes.doc (5 KB) - Revision history of the Ricci package
Download
Example.doc (19.6 KB) - An example of Ricci usage
Download
Manual.dvi (230.9 KB) - Ricci User's Manual - DVI
Download
Manual.ps (415.8 KB) - Ricci User's Manual - Postscript
Download
Manual.tex (187.2 KB) - Ricci User's Manual - TeX
Download
Ricci.m (277.9 KB) - The source file for the Ricci package
Download
Ricci.tex (1.7 KB) - TeX macros needed for Ricci's TeXForm output